Fitting model-based psychometric functions to simultaneity and temporal-order judgment data: MATLAB and R routines

Alcalá-Quintana, Rocío; Garcı́a-Pérez, Miguel A.

doi:10.3758/s13428-013-0325-2

Cited by 58 publications

(57 citation statements)

References 26 publications

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“…Another way to ensure accurate parameter recovery when errors are likely to occur is to repeat the experiment with two or three tasks and then fit the model jointly to all data. For simulation results addressing this issue, see Alcalá-Quintana and García-Pérez (2012). But the analyses of empirical data reported here additionally demonstrate that collecting data with more than the SJ3 task is barely useful, even when response errors occur.…”

Section: Which Task?mentioning

confidence: 94%

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On the discrepant results in synchrony judgment and temporal-order judgment tasks: a quantitative model

2012

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Research on the perception of temporal order uses either temporal-order judgment (TOJ) tasks or synchrony judgment (SJ) tasks, in both of which two stimuli are presented with some temporal delay and observers must judge the order of presentation. Results generally differ across tasks, raising concerns about whether they measure the same processes. We present a model including sensory and decisional parameters that places these tasks in a common framework that allows studying their implications on observed performance. TOJ tasks imply specific decisional components that explain the discrepancy of results obtained with TOJ and SJ tasks. The model is also tested against published data on audiovisual temporal-order judgments, and the fit is satisfactory, although model parameters are more accurately estimated with SJ tasks. Measures of latent point of subjective simultaneity and latent sensitivity are defined that are invariant across tasks by isolating the sensory parameters governing observed performance, whereas decisional parameters vary across tasks and account for observed differences across them. Our analyses concur with other evidence advising against the use of TOJ tasks in research on perception of temporal order.

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Section: Which Task?mentioning

confidence: 94%

“…User-friendly software packages (in MATLAB and R) have been developed for fitting SJ and TOJ data either separately or jointly, as was done in this article, and under alternative sets of assumptions about how response errors occur (Alcalá-Quintana & García-Pérez, 2012).…”

Section: Resultsmentioning

confidence: 99%

On the discrepant results in synchrony judgment and temporal-order judgment tasks: a quantitative model

2012

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“…Bounds are required by the optimization algorithm and issues involving their choice are addressed in the usage documentation. Maximum-likelihood estimates are sought with the matlab built-in function or the R built-in function (for further details, see footnote 2 in Alcalá-Quintana and García-Pérez, 2013). These functions also require starting values for each parameter and they are not guaranteed to return the global optimum; then, the script defines several starting values for some parameters, which are factorially combined to obtain a solution for each multidimensional starting point thus defined so as to return the optimal solution across the board.…”

Section: Fitting the Ternary Indecision Modelmentioning

confidence: 99%

The Indecision Model of Psychophysical Performance in Dual-Presentation Tasks: Parameter Estimation and Comparative Analysis of Response Formats

Garcı́a-Pérez

Alcalá-Quintana

2017

Front. Psychol.

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Psychophysical data from dual-presentation tasks are often collected with the two-alternative forced-choice (2AFC) response format, asking observers to guess when uncertain. For an analytical description of performance, psychometric functions are then fitted to data aggregated across the two orders/positions in which stimuli were presented. Yet, order effects make aggregated data uninterpretable, and the bias with which observers guess when uncertain precludes separating sensory from decisional components of performance. A ternary response format in which observers are also allowed to report indecision should fix these problems, but a comparative analysis with the 2AFC format has never been conducted. In addition, fitting ternary data separated by presentation order poses serious challenges. To address these issues, we extended the indecision model of psychophysical performance to accommodate the ternary, 2AFC, and same–different response formats in detection and discrimination tasks. Relevant issues for parameter estimation are also discussed along with simulation results that document the superiority of the ternary format. These advantages are demonstrated by fitting the indecision model to published detection and discrimination data collected with the ternary, 2AFC, or same–different formats, which had been analyzed differently in the sources. These examples also show that 2AFC data are unsuitable for testing certain types of hypotheses. matlab and R routines written for our purposes are available as Supplementary Material, which should help spread the use of the ternary format for dependable collection and interpretation of psychophysical data.

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“…There are few studies to estimate physiology-based model parameters using psychophysical data, see e.g., Alcalá-Quintana and García-Pérez (2013). To the best of our knowledge, our study is the first to demonstrate the estimation of multiple model parameters characterizing peripheral and central nociceptive subsystems using binary responses to electrocutaneous stimuli.…”

Section: Discussionmentioning

confidence: 99%

Estimation and Identifiability of Model Parameters in Human Nociceptive Processing Using Yes-No Detection Responses to Electrocutaneous Stimulation

et al. 2016

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Healthy or pathological states of nociceptive subsystems determine different stimulus-response relations measured from quantitative sensory testing. In turn, stimulus-response measurements may be used to assess these states. In a recently developed computational model, six model parameters characterize activation of nerve endings and spinal neurons. However, both model nonlinearity and limited information in yes-no detection responses to electrocutaneous stimuli challenge to estimate model parameters. Here, we address the question whether and how one can overcome these difficulties for reliable parameter estimation. First, we fit the computational model to experimental stimulus-response pairs by maximizing the likelihood. To evaluate the balance between model fit and complexity, i.e., the number of model parameters, we evaluate the Bayesian Information Criterion. We find that the computational model is better than a conventional logistic model regarding the balance. Second, our theoretical analysis suggests to vary the pulse width among applied stimuli as a necessary condition to prevent structural non-identifiability. In addition, the numerically implemented profile likelihood approach reveals structural and practical non-identifiability. Our model-based approach with integration of psychophysical measurements can be useful for a reliable assessment of states of the nociceptive system.

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Fitting model-based psychometric functions to simultaneity and temporal-order judgment data: MATLAB and R routines

Cited by 58 publications

References 26 publications

On the discrepant results in synchrony judgment and temporal-order judgment tasks: a quantitative model

On the discrepant results in synchrony judgment and temporal-order judgment tasks: a quantitative model

The Indecision Model of Psychophysical Performance in Dual-Presentation Tasks: Parameter Estimation and Comparative Analysis of Response Formats

Estimation and Identifiability of Model Parameters in Human Nociceptive Processing Using Yes-No Detection Responses to Electrocutaneous Stimulation

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